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In this work we develop a Lorentz-covariant version of the previously derived formalism for relating finite-volume matrix elements to $\textbf 2 + \mathcal J \to \textbf 2$ transition amplitudes. We also give various details relevant for…

高能物理 - 格点 · 物理学 2019-08-21 Alessandro Baroni , Raúl A. Briceño , Maxwell T. Hansen , Felipe G. Ortega-Gama

We write a long-distance effective field theory (EFT) for QCD at finite temperature just below the crossover temperature $T_c$. The low energy constants (LECs) of this EFT are obtained from lattice measurements of the screening mass of…

高能物理 - 格点 · 物理学 2025-11-04 Sourendu Gupta , Pritam Sen , Rishi Sharma

We present a numerical investigation of the relativistic-field-theoretic (RFT) formalism, used to predict the discrete energy spectrum of three pions in a finite volume. Applying the previously derived generalization, we extract results for…

高能物理 - 格点 · 物理学 2024-12-09 Athari Alotaibi , Maxwell T. Hansen

The temporal finite volume induces significant effects in Monte Carlo simulations of systems in low dimensions, such as graphene, a 2-D hexagonal system known for its unique electronic properties and numerous potential applications. In this…

强关联电子 · 物理学 2024-11-07 Lado Razmadze , Thomas Luu

In this talk we discuss finite-volume computations of two-body hadronic decays below the inelastic threshold (e.g. $K\to\pi\pi$ decays). In particular we show how the relation between finite-volume matrix elements and physical amplitudes,…

高能物理 - 格点 · 物理学 2015-06-25 C. -J. D. Lin , G. Martinelli , C. T. Sachrajda , M. Testa

We study the correction to the radiative $\pi^0$ decay width due to finite light quark mass. Using lattice QCD with the overlap fermion formulation, we calculate the three-point function of the form $<PV_\mu V_\nu>$ in the (Euclidean)…

高能物理 - 格点 · 物理学 2011-04-05 E. Shintani , S. Aoki , S. Hashimoto , T. Onogi , N. Yamada

We discuss the calculation of the leading hadronic vacuum polarization in lattice QCD. Exploiting the excellent quality of the compiled experimental data for the e^+e^- --> hadrons cross-section, we predict the outcome of large-volume…

高能物理 - 格点 · 物理学 2015-05-28 David Bernecker , Harvey B. Meyer

With the Schwinger's proper-time formalism of the Nambu-Jona-Lasinio model, we investigate the finite volume effects in the presence of magnetic fields. Since the coupling constant $G$ can be influenced by strong magnetic fields, the model…

高能物理 - 唯象学 · 物理学 2023-09-27 Shou-Zheng Su , Ye-Yin Zhao , Xin-Jian Wen

In this contribution we present a lattice calculation of the leading-order electromagnetic and strong isospin-breaking (IB) corrections to the quark-connected hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment…

高能物理 - 格点 · 物理学 2019-09-05 Davide Giusti , Vittorio Lubicz , Guido Martinelli , Francesco Sanfilippo , Silvano Simula

The two-pion contribution from low energies to the muon magnetic moment anomaly, although small, has a large relative uncertainty since in this region the experimental data on the cross sections are neither sufficient nor precise enough. It…

高能物理 - 唯象学 · 物理学 2014-02-24 B. Ananthanarayan , Irinel Caprini , Diganta Das , I. Sentitemsu Imsong

We present a lattice calculation of the leading hadronic contribution to the anomalous magnetic moment of the muon. This work is based on a subset of the CLS ensembles with $N_f = 2+1$ dynamical quarks and a quenched charm quark. Noise…

We calculate the electromagnetic pion form factor in lattice QCD with 2+1 flavors of the dynamical overlap quarks. Up and down quark masses are set below their physical values so that the system is in the so-called epsilon regime with the…

高能物理 - 格点 · 物理学 2014-09-02 H. Fukaya , S. Aoki , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki

We calculate the leading order hadronic contribution to the muon anomalous magnetic moment using twisted mass lattice QCD. The pion masses range from 330 MeV to 650 MeV. We use two lattice spacings, a=0.079 fm and 0.063 fm, to study lattice…

高能物理 - 格点 · 物理学 2011-07-06 Dru B. Renner , Xu Feng , Karl Jansen , Marcus Petschlies

We introduce a new method for calculating the ${\rm O}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the…

高能物理 - 格点 · 物理学 2018-11-14 Bipasha Chakraborty , Christine T. H. Davies , Jonna Koponen , G. Peter Lepage , Ruth S. Van de Water

We perform a nonperturbative lattice calculation of the complex phase and modulus of the pion form factor in the timelike momentum region using the finite-volume technique. We use two ensembles of 2+1-flavor overlap fermion at pion masses…

高能物理 - 格点 · 物理学 2015-03-18 Xu Feng , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko

In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about $3.5~\sigma$ is observed between the phenomenological estimate and the Brookhaven…

高能物理 - 格点 · 物理学 2021-04-21 Antoine Gérardin

A matrix Hamiltonian model is developed to address the finite-volume effects appearing in studies of baryon resonances in lattice QCD. The Hamiltonian model includes interaction terms in a transparent way, and can be readily generalized to…

高能物理 - 格点 · 物理学 2014-11-21 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young

We have measured the valence pion mass and the valence chiral condensate on lattice configurations generated with and without dynamical fermions. We find that our data and that of others is well represented by a linear relationship between…

高能物理 - 格点 · 物理学 2009-10-28 Robert D. Mawhinney

The anomalous magnetic moment of the muon, a_mu, has been measured with an overall precision of 540 ppb by the E821 experiment at BNL. Since the publication of this result in 2004 there has been a persistent tension of 3.5 standard…

高能物理 - 格点 · 物理学 2019-01-15 Harvey B. Meyer , Hartmut Wittig

We implement the finite-volume $N/D$ representation to study two-baryon interactions from lattice QCD data. We include the left-hand cut induced by one-pion exchange in this formalism, and study the $H$-dibaryon at the…